3. Calculate the resultant moment Calculate the resultant...

3. Calculate the resultant moment Calculate the resultant moment of a pivot acting on a bell crank lever, refer to diagram below. (2 marks) AO = 100 mm OC = 20 mm BC = 20 mm The force of 10 N tends to rotate the lever clockwise, whereas the other two forces tend to rotate the lever anti-clockwise. Clearly, the 10 N force is in opposition to the other two and must therefore be regarded as negative.

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00:01 In this problem we have the following force configuration.

00:08 We have this l type object like this with a pivot at this point o.

00:28 And we have this axis also given.

00:36 Okay, now this angle is 30 degrees and this is a right angle over here.

00:49 So this must be 60 degrees and we have three points a three forces acting at three points we have this point a and at that point we have this downward force of three newtons we have this point c somewhere here and we have this force of five newtons parallel to this longer side of this l shape.

01:30 And then we have this point b over here.

01:35 And we have a horizontal force in this direction and the magnitude is 10 newtons.

01:44 So okay, with this setup we are going to compute the resultant moment about this point o.

01:51 Okay, now we will follow the usual convention.

01:59 Contric clockwise is or anti -clockwise is positive.

02:06 So okay, let's do it component by component or force by force.

02:13 So i will start with this blue force.

02:17 Now let us consider its projections or its components like this and like this.

02:26 So this is 30, this is 90.

02:33 This is 60 so this must be 30 as well okay this component is 3 cosine 30 degrees in use of neutrons and this component is 3 sine 30 neutrons as 30 degrees in use of neutrons now this component points in this section that passes through the center of moment.

03:08 So this component will not contribute.

03:12 And this is perpendicular to the, to this axis of a and it will contribute positively because it is trying to create this counterclockwise moment...

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